A four-node corotational quadrilateral elastoplastic shell element using vectorial rotational variables
From MaRDI portal
Publication:2952306
DOI10.1002/nme.4471zbMath1352.74398OpenAlexW2113320499MaRDI QIDQ2952306
Loc Vu-Quoc, Xin Zhuo, Haoyan Wei, Bassam A. Izzuddin, Zhong-xue Li
Publication date: 30 December 2016
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.4471
elastoplasticityshear lockingmembrane lockingquadrilateral shell elementvectorial rotational variablecorotational approach
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (4)
Finite-strain low order shell using least-squares strains and two-parameter thickness extensibility ⋮ Elastoplastic law of Cosserat type in shell theory with drilling rotation ⋮ 8-node unsymmetric distortion-immune element based on Airy stress solutions for plane orthotropic problems ⋮ A 6-node co-rotational triangular elasto-plastic shell element
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the relation between rotation increments in different tangent spaces
- A constitutive model for rate dependent and rate independent inelasticity. Application to IN718
- The application of geometrically exact shell elements to B-spline surfaces
- A co-rotational formulation for 3D beam element using vectorial rotational variables
- 4-node combined shell element with semi-EAS-ANS strain interpolations in 6-parameter shell theories with drilling degrees of freedom
- A 9-node co-rotational quadrilateral shell element
- A three-dimensional finite-strain rod model. II. Computational aspects
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems
- Finite rotation analysis and consistent linearization using projectors
- On a stress resultant geometrically exact shell model. Part V: Nonlinear plasticity: Formulation and integration algorithms
- Co-rotational beam elements with warping effects in instability problems
- On the choice of finite rotation parameters
- Large elasto-plastic finite element analysis of solids and shells with the enhanced assumed strain concept
- Optimal solid shells for nonlinear analyses of multilayer composites. I: Statics.
- Optimal solid shells for nonlinear analyses of multilayer composites. II: Dynamics.
- Efficient remedy for membrane locking of 4-node flat shell elements by non-conforming modes.
- The vectorial parameterization of rotation
- Geometrically-exact sandwich shells: The static case
- On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory
- Plastic instability of beam structures using co-rotational elements.
- On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells
- Physical stabilization of the 4-node shell element with one point quadrature
- Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
- Stress resultant geometrically nonlinear shell theory with drilling rotations. I: A consistent formulation
- Stress resultant geometrically nonlinear shell theory with drilling rotations. II: Computational aspects
- Finite elastoplastic deformations of space-curved membranes
- Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: Theoretical and computational analysis
- A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains
- On the parametrization of finite rotations in computational mechanics. A classification of concepts with application to smooth shells
- Numerical implementation of multiplicative elasto-plasticity into assumed strain elements with application to shells at large strains
- On the relation between different parametrizations of finite rotations for shells
- A stabilized co-rotational curved quadrilateral composite shell element
- A family of ANS four-node exact geometry shell elements in general convected curvilinear coordinates
- An enhanced co-rotational approach for large displacement analysis of plates
- A bilinear shell element based on a refined shallow shell model
- High-performance four-node shell element with piezoelectric coupling for the analysis of smart laminated structures
- An efficient co-rotational formulation for curved triangular shell element
- A formulation of general shell elements—the use of mixed interpolation of tensorial components
- A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains
- Improved strain interpolation for curvedC° elements
- Assumed strain stabilization procedure for the 9‐node Lagrange shell element
- Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
- A stabilization procedure for the quadrilateral plate element with one‐point quadrature
- On a stress resultant geometrically exact shell model. Part VI: Conserving algorithms for non‐linear dynamics
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- A simple and efficient finite element for plate bending
- A simple quadrilateral shell element
- A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
- Stress resultant geometrically non‐linear shell theory with drilling rotations. Part III: Linearized kinematics
- Stress resultant geometrically exact form of classical shell model and vector‐like parameterization of constrained finite rotations
- An efficient implementation of stress resultant plasticity in analysis of Reissner‐Mindlin plates
- On assumed shear strain in finite rotation shell analysis
- A class of mixed assumed strain methods and the method of incompatible modes
- Four‐node semi‐EAS element in six‐field nonlinear theory of shells
- Efficient and accurate multilayer solid-shell element: non-linear materials at finite strain
- Reduced integration technique in general analysis of plates and shells
- Enhanced transverse shear strain shell formulation applied to large elasto‐plastic deformation problems
- Geometrically exact sandwich shells: The dynamic case.
This page was built for publication: A four-node corotational quadrilateral elastoplastic shell element using vectorial rotational variables
